qantum theory of matter - WaveParticle Duality of Matter...

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Wave-Particle Duality of Matter Wave-like Behavior of Matter In 1925, Louis DeBroglie hypothesized that if light, which everyone thought for so long was a wave, is a particle,  then perhaps particles like the electron, proton, and neutron might have wave-like behaviors. He went further  and reasoned that since waves are described by their wavelength λ and particles are described by their momentum,  p then we can relate these two variables by recalling that the Quantum Theory says E = h   = hc/ , ν λ and the theory of Relativity says E = m c 2  = p c. Then let's equate these two equations to get the DeBroglie relationship between  momentum  (a particle  property) and  wavelength  (a wave property) p = h/ λ The first real experimental proof of this relationship came from Davisson and Germer in 1925, who found that  electrons will diffract and interfere like waves, just like X-ray photons (light). For example, an electron with a  velocity of 5.97 X 10 6  m/s (mass of an electron =9.11 X 10 -28 g) has a wavelength of:
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So, matter and light are composed of particles that have wave-like properties. The wave-like behavior is only 
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This note was uploaded on 10/13/2011 for the course CHEMISTRY 121 taught by Professor Staff during the Fall '10 term at Bangladesh University of Eng and Tech.

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qantum theory of matter - WaveParticle Duality of Matter...

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